An individual ergodic theorem with respect to a uniform sequence and the Banach principle in Jordan algebras

A. K. Karimov; F. M. Mukhamedov

doi:10.1070/sm2003v194n02abeh000714

An individual ergodic theorem with respect to a uniform sequence and the Banach principle in Jordan algebras

A. K. Karimov, F. M. Mukhamedov

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

A non-associative analogue of the Banach principle is developed for measurable elements with respect to a JSW-algebra. On the basis of it an individual ergodic theorem is proved for subsequences generated by means of uniform sequences.

Original language	English
Pages (from-to)	237-250
Number of pages	14
Journal	Sbornik Mathematics
Volume	194
Issue number	1-2
DOIs	https://doi.org/10.1070/sm2003v194n02abeh000714
Publication status	Published - 2003
Externally published	Yes

ASJC Scopus subject areas

Mathematics (miscellaneous)

Access to Document

10.1070/sm2003v194n02abeh000714

Cite this

@article{23429cc18d44400f951e5d4ab73b89dc,

title = "An individual ergodic theorem with respect to a uniform sequence and the Banach principle in Jordan algebras",

abstract = "A non-associative analogue of the Banach principle is developed for measurable elements with respect to a JSW-algebra. On the basis of it an individual ergodic theorem is proved for subsequences generated by means of uniform sequences.",

author = "Karimov, {A. K.} and Mukhamedov, {F. M.}",

year = "2003",

doi = "10.1070/sm2003v194n02abeh000714",

language = "English",

volume = "194",

pages = "237--250",

journal = "Sbornik Mathematics",

issn = "1064-5616",

publisher = "Turpion Ltd.",

number = "1-2",

}

TY - JOUR

T1 - An individual ergodic theorem with respect to a uniform sequence and the Banach principle in Jordan algebras

AU - Karimov, A. K.

AU - Mukhamedov, F. M.

PY - 2003

Y1 - 2003

N2 - A non-associative analogue of the Banach principle is developed for measurable elements with respect to a JSW-algebra. On the basis of it an individual ergodic theorem is proved for subsequences generated by means of uniform sequences.

AB - A non-associative analogue of the Banach principle is developed for measurable elements with respect to a JSW-algebra. On the basis of it an individual ergodic theorem is proved for subsequences generated by means of uniform sequences.

UR - http://www.scopus.com/inward/record.url?scp=0038750661&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0038750661&partnerID=8YFLogxK

U2 - 10.1070/sm2003v194n02abeh000714

DO - 10.1070/sm2003v194n02abeh000714

M3 - Article

AN - SCOPUS:0038750661

SN - 1064-5616

VL - 194

SP - 237

EP - 250

JO - Sbornik Mathematics

JF - Sbornik Mathematics

IS - 1-2

ER -

An individual ergodic theorem with respect to a uniform sequence and the Banach principle in Jordan algebras

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this